Medium frequency plasma behavior can be investigated using an MHD model with the addition of the Hall term to the Ohm's law. Such a model embodies some electron dynamics and can therefore be used to investigate physically more complicated processes than a conventional MHD model can. Form the modeling standpoint, this model works on the ion time scale and therefore avoids the shorter electron time scale associated with a two-fluid approach. Here, we present one such model with its two as well as three-dimensional versions, test it thoroughly against the linear analytic theory, and finally present an application of the model to the study of the plasma waves generated at a solar wind cometary gas interface.
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